4 papers
Spectral stability of the Coulomb-Dirac Hamiltonian with anomalous magnetic moment
Hubert Kalf, Karl Michael Schmidt
We show that the point spectrum of the standard Coulomb-Dirac operator H_0 is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment H_a as the anomal…
Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit
Karl Michael Schmidt
A perturbation decaying to 0 at infinity and not too irregular at 0 introduces at most a discrete set of eigenvalues into the spectral gaps of a one-dimensional Dirac operator on t…
On the integrability in finite terms of first-order differential equations according to Maximovic
Karl Michael Schmidt
We give a definition of integration by quadratures of first-order ordinary differential equations, and recover a little known result by Maximovic which states that a first-order or…
Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity
Karl Michael Schmidt, Osanobu Yamada
We study the spectrum of spherically symmetric Dirac operators in three-dimensional space with potentials tending to infinity at infinity under weak regularity assumptions. We prov…